What is the Least Common Multiple of 6252 and 6272?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 6252 and 6272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6252 and 6272, than apply into the LCM equation.

GCF(6252,6272) = 4
LCM(6252,6272) = ( 6252 × 6272) / 4
LCM(6252,6272) = 39212544 / 4
LCM(6252,6272) = 9803136

Least Common Multiple (LCM) of 6252 and 6272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6252 and 6272. First we will calculate the prime factors of 6252 and 6272.

Prime Factorization of 6252

Prime Factorization of 6272

Now multiplying the highest exponent prime factors to calculate the LCM of 6252 and 6272.

LCM(6252,6272) = 2⁷ × 3¹ × 521¹ × 7²
LCM(6252,6272) = 9803136